This semester we will study nonlinear dynamics under the influence of time delay.
This course concerns itself with the the theory of delay differential equations and will offer a glimpse of the many fascinating phenomena that can precipitate in an infinite-dimensional phase space. Time delay appears as an intrinsic component of many systems, e.g., signal propagation in optical systems, biological systems with memory effects, complex economic models, and social or ecological networks. Time delay can also be artificially implemented into a system to control its behavior.
Prerequisites are a good knowledge of ordinary differential equations (such as the lecture Dynamical Systems 1 which took place in Summer 2018).